(CNN) -- It was a shocking and gruesome discovery: three dead infants found in a Massachusetts home so squalid that police officers had to search it in hazmat suits.

Now, days later, as investigators continue to search through what the Worcester County District Attorney's Office describes as the home's "deplorable conditions (such as) massive insect infestation, mounds of used diapers and feces," a picture is beginning to emerge of the family that lived inside.